I think as long as you go into it knowing that some women will have an issue with it, that it's not about you, and don't plan to get all butthurt over it, you'll be fine.
I personally am the modest type -- I chose CNM groups over OB-GYN groups because I was guaranteed a female provider at push time. It has nothing to do with my misconceptions about male RNs -- I know 99.9999999% of them are professional -- nor about any abuse history or any of that. (Plus, what about women who were victimized by a woman?)
Relating? Well nothing guarantees a female RN has gone through L&D. Besides, it's not the nurse's job to "relate to" me.
You CLEARLY have a passion for this type of nursing, and I think it's great -- truly.
I really just didn't want my nether regions all exposed in front of men (except my husband...and that was even awkward for me.)
Now as a working RN, if a guy introduced himself as my nurse? I'd probably deal.
I mean I wouldn't want to create staffing issues.
All that said, in the US in 2017, it seems like I'm in the minority. If you live in an area with any super-conservative populations, be aware of that. I have had several female Muslim pts in ICU setting whose family requested only female RNs/CNAs. But otherwise? Hey, if you love OB nursing go for it!